Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{6}{\sqrt{10}}\)
2. \(\frac{57}{\sqrt{10}}\)
3. \(\frac{4}{\sqrt{2}}\)
4. \(\frac{30}{\sqrt{10}}\)
5. \(\frac{59}{\sqrt{8}}\)
6. \(\frac{20}{\sqrt{19}}\)
7. \(\frac{55}{\sqrt{2}}\)
8. \(\frac{21}{\sqrt{17}}\)
9. \(\frac{51}{\sqrt{8}}\)
10. \(\frac{10}{\sqrt{10}}\)
11. \(\frac{42}{\sqrt{6}}\)
12. \(\frac{35}{\sqrt{2}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{6}{\sqrt{10}}=\frac{6\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{6\cdot\sqrt{10}}{10}=\frac{3\cdot\sqrt{10}}{5}\)
2. \(\frac{57}{\sqrt{10}}=\frac{57\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{57\cdot\sqrt{10}}{10}\)
3. \(\frac{4}{\sqrt{2}}=\frac{4\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{4\cdot\sqrt{2}}{2}=2\cdot\sqrt{2}\)
4. \(\frac{30}{\sqrt{10}}=\frac{30\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{30\cdot\sqrt{10}}{10}=3\cdot\sqrt{10}\)
5. \(\frac{59}{\sqrt{8}}=\frac{59\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{59\cdot\sqrt{8}}{8}\)
6. \(\frac{20}{\sqrt{19}}=\frac{20\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{20\cdot\sqrt{19}}{19}\)
7. \(\frac{55}{\sqrt{2}}=\frac{55\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{55\cdot\sqrt{2}}{2}\)
8. \(\frac{21}{\sqrt{17}}=\frac{21\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{21\cdot\sqrt{17}}{17}\)
9. \(\frac{51}{\sqrt{8}}=\frac{51\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{51\cdot\sqrt{8}}{8}\)
10. \(\frac{10}{\sqrt{10}}=\frac{10\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{10\cdot\sqrt{10}}{10}=\frac{\sqrt{10}}{1}\)
11. \(\frac{42}{\sqrt{6}}=\frac{42\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{42\cdot\sqrt{6}}{6}=7\cdot\sqrt{6}\)
12. \(\frac{35}{\sqrt{2}}=\frac{35\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{35\cdot\sqrt{2}}{2}\)